Rectangle A'B'C'D' – A(-4, 4), B(2, 4), C(2, 0), D(-4, 0)
Rectangle P'Q'R'S' – P(-8, 8), Q(4, 8), R(4, 0), S(-8, 0)

Jake scaled both the rectangles about their centers to create two congruent rectangles A′B′C′D′ and P′Q′R′S′.

By which factor did he most likely scale Rectangle A'B'C'D' and Rectangle P'Q'R'S'?

Question

Rectangle A'B'C'D' – A(-4, 4), B(2, 4), C(2, 0), D(-4, 0)
Rectangle P'Q'R'S' – P(-8, 8), Q(4, 8), R(4, 0), S(-8, 0)
 
Jake scaled both the rectangles about their centers to create two congruent rectangles A′B′C′D′ and P′Q′R′S′.
 
By which factor did he most likely scale Rectangle A'B'C'D' and Rectangle P'Q'R'S'?

anonymous · Answer

Rectangle A'B'C'D' by  and Rectangle P'Q'R'S' by  to create congruent rectangles of dimensions 2 x 3 units

 Rectangle A'B'C'D' by 3 and Rectangle P'Q'R'S' by 2 to create congruent rectangles of dimensions 3 x 2 units

 Rectangle A'B'C'D' by  and Rectangle P'Q'R'S' by  to create congruent rectangles of dimensions 9 x 6 units

 Rectangle A'B'C'D' by  and Rectangle P'Q'R'S' by  to create congruent rectangle of dimensions 9 x 6 units